Email this article Volterra Chain and Catalan Numbers
- Authors: Adler V.E.1, Shabat A.B.1
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Affiliations:
- Landau Institute for Theoretical Physics
- Issue: Vol 108, No 12 (2018)
- Pages: 825-828
- Section: Methods of Theoretical Physics
- URL: https://ogarev-online.ru/0021-3640/article/view/161350
- DOI: https://doi.org/10.1134/S0021364018240013
- ID: 161350
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Abstract
We consider the Cauchy problem for the Volterra chain with an initial condition equal to 0 in one node and 1 in the others. It is shown that this problem admits an exact solution in terms of the Bessel functions. The Taylor series arising here are related to the exponential generating function for the Catalan numbers.
About the authors
V. E. Adler
Landau Institute for Theoretical Physics
Author for correspondence.
Email: adler@itp.ac.ru
Russian Federation, Chernogolovka, Moscow region, 142432
A. B. Shabat
Landau Institute for Theoretical Physics
Email: adler@itp.ac.ru
Russian Federation, Chernogolovka, Moscow region, 142432
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